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1. • CommentRowNumber1.
   • CommentAuthorDmitri Pavlov
   • CommentTimeDec 26th 2023
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexBasic disambiguation page. <a href="https://ncatlab.org/nlab/revision/localization/1">v1</a>, <a href="https://ncatlab.org/nlab/show/localization">current</a>

   Basic disambiguation page.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorHurkyl
   • CommentTimeDec 27th 2023
   • (edited Dec 27th 2023)
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   Author: Hurkyl
   Format: MarkdownItexI'm not sure the right fix, but "left Bousfield localization" redirects to Bousfield localization of model categories, rather than the adaptation of language to refer to reflective localization of $\infty$-categories.

   I’m not sure the right fix, but “left Bousfield localization” redirects to Bousfield localization of model categories, rather than the adaptation of language to refer to reflective localization of $\infty$-categories.

3. • CommentRowNumber3.
   • CommentAuthorDmitri Pavlov
   • CommentTimeDec 28th 2023
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexRe #2: The underlying (∞,1)-functor of a left Bousfield localizations of model categories is a reflective localization of (∞,1)-categories. Also, Cisinski in [[Higher Categories and Homotopical Algebra]] uses the term “left Bousfield localization” to refer to reflective localizations of quasicategories.

   Re #2: The underlying (∞,1)-functor of a left Bousfield localizations of model categories is a reflective localization of (∞,1)-categories.

   Also, Cisinski in Higher Categories and Homotopical Algebra uses the term “left Bousfield localization” to refer to reflective localizations of quasicategories.

4. • CommentRowNumber4.
   • CommentAuthorHurkyl
   • CommentTimeDec 28th 2023
   • PermaLink
   Author: Hurkyl
   Format: MarkdownItexYes, I understand that you are importing the language (from Cisinski) of using "left Bousfield localization" to refer to reflective localization of (∞,1)-categories in general. However, the page that link links to is not that: that page is about a limited class of examples presented in a limited way. Obviously left Bousfield localization of model categories should be linked to somewhere on this page since it is an important example. But the way the idea section is written, having the phrase "left Bousfield localization" link there is scuff that should be removed if there's a reasonable way to do so.

   Yes, I understand that you are importing the language (from Cisinski) of using “left Bousfield localization” to refer to reflective localization of (∞,1)-categories in general.

   However, the page that link links to is not that: that page is about a limited class of examples presented in a limited way.

   Obviously left Bousfield localization of model categories should be linked to somewhere on this page since it is an important example. But the way the idea section is written, having the phrase “left Bousfield localization” link there is scuff that should be removed if there’s a reasonable way to do so.

5. • CommentRowNumber5.
   • CommentAuthorDmitri Pavlov
   • CommentTimeDec 28th 2023
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexRe #4: I created a disambiguation page [[left Bousfield localization]], which is now linked from this page.

   Re #4: I created a disambiguation page left Bousfield localization, which is now linked from this page.